What is the 5589th prime number?
The 5589th prime number is 54979. The next prime is 54983 (a gap of 4) and the one before is 54973.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5589th one is 54979.
- 2
54979 is prime because no prime up to ā54979 ā 234.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5589th prime is close to 5589 Ć ln(5589) ā 48225, and here it is 54979.
- 4
54979 has no twin: neither 54977 nor 54981 is prime.
Primes around the 5589th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5586 | 54949 | 8 |
| 5587 | 54959 | 10 |
| 5588 | 54973 | 14 |
| 5589 | 54979 | 6 |
| 5590 | 54983 | 4 |
| 5591 | 55001 | 18 |
| 5592 | 55009 | 8 |
Questions
What is the 5589th prime number?
54979.
Which prime number is 54979?
54979 is the 5589th prime number.
What is the sum of the first 5589 primes?
144,949,112.